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Finding the Fourth Proportional to 13,815.21, 20,727.99 and 8,272.47

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Solution

The fourth proportional to 13,815.21, 20,727.99 and 8,272.47 is: 12,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.21 : 20,727.99 = 8,272.47 : x
  2. Step 2: Convert to fraction form
    13,815.21/20,727.99 = 8,272.47/x
  3. Step 3: Cross multiply
    13,815.21x = 20,727.99 × 8,272.47
  4. Step 4: Simplify right side
    13,815.21x = 171,471,675.44
  5. Step 5: Solve for x
    x = 171,471,675.44/13,815.21
  6. Step 6: Final answer
    x = 12,411.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.